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Finding the Fourth Proportional to 542,389,077.60, 813,583,616.40 and 482,934,818.40

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Solution

The fourth proportional to 542,389,077.60, 813,583,616.40 and 482,934,818.40 is: 724,402,227.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,389,077.60 : 813,583,616.40 = 482,934,818.40 : x
  2. Step 2: Convert to fraction form
    542,389,077.60/813,583,616.40 = 482,934,818.40/x
  3. Step 3: Cross multiply
    542,389,077.60x = 813,583,616.40 × 482,934,818.40
  4. Step 4: Simplify right side
    542,389,077.60x = 392,907,856,039,349,248
  5. Step 5: Solve for x
    x = 392,907,856,039,349,248/542,389,077.60
  6. Step 6: Final answer
    x = 724,402,227.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.